SYLLABUS IN MATHEMATICS 7

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1 SYLLABUS IN MATHEMATICS 7 FIRST QUARTER GRADE 7 PROGRAM STANDARD GRADE LEVEL STANDARD CONTENT STANDARD PERFORMANCE STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied using appropriate technology in problem solving, communicating, reasoning, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts and principles of numbers and number sense (sets and real number system); measurement (conversion of units of measurement); patterns and algebra (algebraic expressions and properties of real numbers as applied in linear equations and inequalities in one variable); and geometry (sides and angles of polygons) as applied using appropriate technology in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts of sets and the real number system. The learner is able to formulate challenging situations involving sets and real numbers and solve these in a variety of strategies. TIME FRAME WEEK1 TOPICS LEARNING COMPETENCIES ASSESSMENT NUMBER AND NUMBER SENSE Sets and Subsets -Demonstrate contributions towards solidarity -Students will share common interest M7NS-Ia-1: describes welldefined sets, subsets, universal sets, and the null set and cardinality of sets. M7NS-Ia-2: illustrates the union The Boat is Sinking Large Group Discussion Board work LAS 1: Sets LAS 2:Subsets and

2 -Practice cooperation in group task/activity WEEK2 Basic Set Operations Venn Diagram Subsets of Real Numbers - Is sensitive to individual, social and cultural differences: people should be treated equally and create a good relationship with other people -Patience and accuracy in constructing Venn Diagram and the intersection of sets and the difference of two sets. defines and describes the universal set, the union, intersection, and difference of sets, and the complement of a set. M7NS-Ib-1: uses Venn Diagrams to represent sets, subsets, and set operations. Universal Set Follow-up Pairs Compare Checklist LAS 3 Set Operations LAS 4 The Real Number System Performance Task #1 M7NS-Ib-2: solves problem involving sets. describes, represents, and compares the different subsets of real numbers. finds the union, intersection, difference of, and complement of the set of real numbers and its subsets. M7NS-Ih-1: arranges real numbers in increasing or decreasing order. WEEK3 Properties of Real Numbers The Set of Whole Numbers Follow-up

3 The Set of Whole Numbers involving Problem Solving - Is sensitive to individual, social and cultural differences: valuing and respecting one s property - Demonstrate contribution towards solidarity: shows cooperation in group work and shows perseverance states and illustrates the different properties of the operations on real numbers. performs fundamental operations on whole numbers. performs fundamental operations on whole numbers involving problem solving. Q-Spinner Brainstorming LAS 5:Properties of Real Numbers LAS 6: The Set of Whole Numbers WEEK4 The Set of Integers - Is sensitive to individual, social and cultural differences: appreciate the negative and positive things in life and appreciate differences M7NS-Ij-1: performs fundamental operations on whole numbers involving problem solving. describes the opposite of a number. Math Focus(Sharing) Follow-up LAS 7:The Set of Integers Long Test M7NS-Ie-1: represents the absolute value of a number on a number line as the distance of a number from zero. WEEK5 WEEK6 Adding Integers Subtracting Integers -Stress the importance of following rules and regulations First Mid-Quarter Examination M7NS-Ic-d-1: performs fundamental operation on integers. Board Work Clarification Pauses LAS 8:Adding Integers

4 -Inculcate the virtue of being open to suggestions particularly to new approach in solving problem M7NS-Id-2: illustrates the different properties of operations on the set of integers. LAS 9: Subtracting Integers Quiz WEEK7 Multiplying Integers Dividing Integers - Demonstrates contribution towards solidarity: positive traits students should possess and contribute a skill that can help accomplish the task M7NS-Ic-d-1: performs fundamental operation on integers. M7NS-Id-2: illustrates the different properties of operations on the set of integers. Inside/Outside Circle Number heads Together LAS 10: Multiplying and Dividing Integers Quiz WEEK8 The Sets of Fractions The Sets of Decimals - Demonstrates contribution towards solidarity: equal sharing to others and cooperation WEEK9 The Sets of Irrational Numbers - Demonstrates contribution towards solidarity: appreciating the contribution of others M7NS-Ie-2: arranges rational numbers on a number line. M7NS-If-1: performs operations on rational numbers M7NS-Ie-1: expresses rational numbers from fraction form to decimal form and vice versa. M7NS-ig-1: describes the principal square root of a number and tell whether it is rational or irrational. M7NS-Ig-1: determines Brainstorming (review and grouping) LAS 11: The Set of Fractions LAS 12: The Set of Decimals Quiz Performance Task #2 Large group Discussion Think-Pair-Share LAS 13: The Set of Irrational Numbers

5 between what two integers the square root of a number is. Long Test M7NS-Ig-3: estimates the square root of a whole number to the nearest hundredth. WEEK10 First Quarter Examination

6 SYLLABUS IN MATHEMATICS 7 SECOND QUARTER GRADE 7 PROGRAM STANDARD GRADE LEVEL STANDARD: CONTENT STANDARD: PERFORMANCE STANDARD: The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied using appropriate technology in problem solving, communicating, reasoning, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts and principles of numbers and number sense (sets and real number system); measurement (conversion of units of measurement); patterns and algebra (algebraic expressions and properties of real numbers as applied in linear equations and inequalities in one variable); and geometry (sides and angles of polygons) as applied using appropriate technology in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life. The learner demonstrates understanding of the key concepts of measurement. The learner demonstrates understanding of key concepts of algebraic expressions, the properties of real numbers as applied in linear equations, and inequalities in one variable. The learner is able to formulate real-life problems involving measurements and solve these using a variety of strategies. The learner is able to model situations using oral, written, graphical, and algebraic methods in solving problems involving algebraic expressions, linear equations, and inequalities in one variable. TIME FRAME WEEK1 TOPICS LEARNING COMPETENCIES ASSESSMENT MEASUREMENT Historical Development of Clarification Pauses

7 Measurement Measuring Instruments -Coordination and participation in group activity. -Practice care in handling instruments M7ME-IIa-2: describes the development of measurement from the primitive to the present international system of units. M7ME-IIa-2: describes what it means to measure. Summative; Follow-up Think-Pair-Share LAS1: Historical Development of Measurement M7ME-IIa-3: approximates the measures of quantities particularly length, weight/mass, volume, time, angle and temperature and rate. WEEK2 Converting Measurements -Appreciate the appropriateness solution for problems. -Practicing independence in performing a seatwork. -Inculcate the importance of being honest to oneself M7ME-IIb-1: converts measurements from one unit to another in both metric and English systems. M7ME-IIb-2; solves problems involving conversion of units of measurement. Follow-up Group Evaluation LAS 2: Converting Measurement(Length and Mass) LAS 3: Converting Measurement(Capaci ty and Time) Quiz Performance task #1 WEEK3 Perimeter, Area and Volume

8 -Appreciate existence of a circle in the world. derives inductively the formulas for perimeter, area, and volume. solves real-life problems involving perimeter, area, and volume. Numbered heads Together Large Group Discussion LAS 4: Perimeter and Area LAS 5: Volume WEEK4 ALGEBRAIC EXPRESSIONS Terminology Simplifying Numerical Expressions -One has to set and accomplish goals, be determining in achieving it. -To appreciate the beauty of simplicity. M7AL-IIc-3: differentiates between constant terms and variables in a given algebraic expressions. identifies the base, coefficient, terms, and exponents, in a given polynomial. Peer Review Active Review Sessions LAS 6: Terminology LAS 7: Simplifying Rational Expressions Long Test simplifies numerical expressions. WEEK5 Second Mid-Quarter Examination WEEK6 Evaluating Algebraic Expressions Verbal Phrases and Algebraic Expressions -One has to set and accomplish goals, be determining in achieving it. -Be creative in connecting learned concept to M7AL-IIc-4: evaluates an algebraic expression for given values of the variables. Follow-up Q-Spinner LAS 8: Evaluating Algebraic

9 real-life. M7AL-IIc-1: translates verbal phrases to algebraic expressions, and vice versa. Expressions LAS 9: Verbal Phrases and Algebraic Expressions WEEK7 The Laws of Exponents Adding Polynomials -Student will appreciate the value of investing money and following laws. M7AL-IId-e-1: derives inductively the laws of exponents. illustrates the laws of exponents. defines and give examples of polynomials, monomials, binomials, trinomials, and multinomial. Checklist Brainstorming Mix-Pair-Discuss Summative; LAS 10: The Laws of Exponents LAS 11: Adding and Subtracting Polynomials M7AL-IId-2: adds polynomials. WEEK8 Subtracting Polynomials Multiplying Polynomials -Appreciate the value of following rules/laws. -Observe neatness in every accomplished task. M7AL-IId-2: subtracts polynomials. M7AL-IIe-2: multiplies polynomials. Flashcard Games Idea Spinner LAS 12: Subtracting Polynomials LAS 13: Multiplying

10 Polynomials Quiz WEEK9 Dividing Polynomials Values on Focus; -Enhance accuracy and develop consistency in dealing with division of polynomials. M7AL-IIe-2: divides polynomials. Follow-up Partners LAS 14: Dividing Polynomials Performance task #2 Long Test WEEK10 Second Quarter Examination

11 SYLLABUS IN MATHEMATICS 7 THIRD QUARTER GRADE 7 PROGRAM STANDARD GRADE LEVEL STANDARD CONTENT STANDARD PERFORMANCE STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied using appropriate technology in problem solving, communicating, reasoning, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts and principles of numbers and number sense (sets and real number system); measurement (conversion of units of measurement); patterns and algebra (algebraic expressions and properties of real numbers as applied in linear equations and inequalities in one variable); and geometry (sides and angles of polygons) as applied using appropriate technology in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts of algebraic expressions, the properties of real numbers as applied in linear equations, and inequalities in one variable. The learner is able to model situations using oral, written, graphical, and algebraic methods in solving problems involving algebraic expressions, linear equations, and inequalities in one variable. TIME FRAME WEEK1 TOPICS LEARNING COMPETENCIES ASSESSMENT LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE Linear Equations in One Variable Addition Property of Equality M7AL-IIh-1: differentiates between mathematical expressions and Think-Pair-Share Clarification Pauses Review Math Focus

12 -The value of working together to achieve a common goal. -Valuing that existence of problems may mean existence of solutions as well. -Know what to add and what to subtract from one s attitude to gain more friends. mathematical equations. finds solution of an equation involving one variable o from a given placement set o intuitively by guess and check o by mental mathematics o by graphing o by using algebra tiles o by using flow diagram LAS 1: Linear Equations in One Variable LAS 2: Addition Property of Equality WEEK2 Multiplication Property of Equality -Promote equality in the society. WEEK3 Solving Equations Involving More Than One Operation M7AL-IIi-1: finds the solution of an equation involving one variable by applying the addition property of equality. M7AL-IIi-1: finds the solution of an equation involving one variable by applying the multiplication property of equality. M7AL-IIi-1: solves linear equations in one variable Follow-up Numbered Heads Together Maintain your skills(exercise given in the textbook) Summative; LAS 3: Multiplication Property of Equality Quiz Group Evaluations Board work Brainstorming

13 -Practice cooperation WEEK4 Solving Equations Involving Fractions Solving Equations Involving Decimals -Know how to practice honesty. -Develop competence in solving WEEK5 WEEK6 Linear Equation Involving Absolute Value Mathematical Equations and Verbal Sentences -Work harmoniously with others. -Stress the importance of keeping communications between interacting parties open. WEEK7 Problems Involving Linear Equations in One Variable involving more than one operation. solves linear equations in one variable involving fractions. solves linear equations in one variable involving decimals. Third Mid-Quarter Examination M7AL-Iii-1: solves linear equations in one variable involving absolute value. M7AL-IIh-2: translates verbal English sentences to mathematical sentences, and vice versa. M7AL-IIj-2: solves real-life LAS 4: Solving Equations Involving More Than One Operation Follow-up Active review Sessions LAS 5: Solve Equations Involving Fractions LAS 6: Solve Equations Involving Decimals Long Test Q-Spinner Clarification Pauses LAS 7: Linear Equations Involving absolute Value LAS 8: Mathematical Equations and Verbal Sentences Clarification Pauses

14 -Inculcate the idea that for every problem there is always a solution. WEEK8 Solving Linear Inequalities -Emphasize that there is equality in the eyes of one Creator-God. WEEK9 Solving Problems Involving Linear Inequalities in One Variable WEEK10 -Give the significance of saving for the future-thriftiness. problems that use linear equations in one variable M7AL-IIh-3: differentiates between equations and inequalities. M7AL-Iii-1: finds solutions of an inequality involving one variable. M7AL-IIj-2: solves real-life problems that use inequalities in one variable. Third Quarter Examination Cooperative Group in Class LAS 9: Problems Involving Linear Equations in One Variable Quiz Large Group Discussion Numbered Heads Together Written Activity LAS 10: Solving Linear Inequalities Large Group Discussion Think-pair-Share Partners LAS 11: Solving Problems Involving Linear Inequalities in One Variable Long Test Performance task #1

15 SYLLABUS IN MATHEMATICS 7 FOURTH QUARTER GRADE 7 PROGRAM STANDARD GRADE LEVEL STANDARD CONTENT STANDARD PERFORMANCE STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied using appropriate technology in problem solving, communicating, reasoning, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts and principles of numbers and number sense (sets and real number system); measurement (conversion of units of measurement); patterns and algebra (algebraic expressions and properties of real numbers as applied in linear equations and inequalities in one variable); and geometry (sides and angles of polygons) as applied using appropriate technology in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life. The learner demonstrates understanding of key concepts of geometry of shapes and sizes, and geometric relationships. The learner is able to create models of plane figures and formulate and solve accurately authentic problems involving side and angles of a polygon. TIME FRAME WEEK1 TOPICS LEARNING COMPETENCIES ASSESSMENT BASIC CONCEPTS IN GEOMETRY Undefined Terms Angles -Students realize the importance of individuality. Like objects have their M7GE-IIIa-1: represents a point, line, and plane using concrete and pictorial models. Peer Review Q Spinner Follow-up

16 individual shapes, persons have their individual characteristics that make them unique. -Students realize the importance of parts, may it be opposite of the other, in a structure. -Students may be named in different ways but those names pertain to the same person. It s not the name that identifies the person but the attitude and behavior. M7GE-IIIa-2: defines, indentifies, and names the subsets of a line. M7GE-IIIa-3: defines, illustrates, names, and identifies the different kinds of angles. LAS 1: Undefined Terms WEEK2 Adjacent and Complementary Angles Supplementary Angles -Students realize that pairs don t always have to be the same. There are pairs that are opposite but complement each other. Same through with friendship. -Students realize that significance of group work. That there are tasks that cannot be done by one person and so other may help to finish the task. WEEK3 Linear Pairs Vertical Angles Perpendicular Lines -Students realize that pairs don t M7GE-IIIb-1: derives relationships between adjacent angles and complementary angles by using measurements and inductive reasoning. M7GE-IIIb-1: derives relationships between supplementary angles by using measurements and inductive reasoning. M7GE-IIIb-1: derives relationships between linear pairs by using measurements and Triad Clarification Pauses Numbered Heads Together LAS 2: Adjacent and Complementary Angles LAS 3 Supplementary Angles Large Group Discussion Sharing by pair LAS 4: Linear Pairs

17 always have to be the same. There are pairs that are opposite but complement each other. Same through with friendship. -Students realize that significance of group work. That there are tasks that cannot be done by one person and so other may help to finish the task. inductive reasoning. M7GE-IIIb-1: derives relationships between vertical angles by using measurements and inductive reasoning. M7GE-IIIb-1: derives relationships between perpendicular lines by using measurements and inductive reasoning. LAS 5: Vertical Angles LAS 6: Perpendicular Lines Quiz WEEK4 Angles Formed by Parallel Lines Cut by a Transversal -Emphasize the importance of selfdiscipline. -Emphasize the value of having initiative. M7GE-IIIc-1: derives relationships among angles formed by parallel lines cut by a transversal by using measurements and inductive reasoning. Think-Pair-Share Inside/Outside Circle Follow-up LAS 7: Angles Formed by Parallel Lines Cut by a Transversal Long Test Performance Task #1 WEEK5 WEEK6 SOME PLANE FIGURES Polygons Triangles Fourth Mid-Quarter Examination M7GE-IIIe-2: defines and illustrates convex polygons. Find Someone Who Numbered Heads Together

18 -Students understand the meaning of group differences. Like shapes, they may all be pertaining to shapes but some are curves, others are polygons and some are mix of both. M7GE-IIIf-1: derives the relationship of sides, angles, and diagonals of any convex polygon using measurement and by inductive reasoning. LAS 8: Polygons LAS 9: Triangles Quiz classifies triangles according to their angles and sides. WEEK7 Sides and Angles of a Triangle -Recognize the life and contribution of Pythagoras and others. WEEK8 Quadrilaterals -Recognize the importance of being diligence derives relationships among the sides and angles of a triangle using measurement and by inductive reasoning. illustrates, and identifies the different kinds of quadrilaterals. derives relationships among the angles and among the sides of a polygon using measurement and by inductive reasoning. Mix-Pair Discuss Clarification Pauses Math Focus LAS 10: Sides and Angle of a Triangle Large Group Discussion Follow-up LAS 11: Quadrilaterals WEEK9 Circles

19 -Recognize the love for knowledge. M7GE-IIIg-1: illustrates a circle and the terms related to it such as radius, diameter, center, arc, chord, central angle and inscribed angle. Large Group Discussion Triad LAS 12: Circles Long Test Performance Task #2 WEEK10 Fourth Quarter Examination

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